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Finding the Fourth Proportional to 2,666.39, 3,994.11 and 1,786.19

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Solution

The fourth proportional to 2,666.39, 3,994.11 and 1,786.19 is: 2,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.39 : 3,994.11 = 1,786.19 : x
  2. Step 2: Convert to fraction form
    2,666.39/3,994.11 = 1,786.19/x
  3. Step 3: Cross multiply
    2,666.39x = 3,994.11 × 1,786.19
  4. Step 4: Simplify right side
    2,666.39x = 7,134,219.37
  5. Step 5: Solve for x
    x = 7,134,219.37/2,666.39
  6. Step 6: Final answer
    x = 2,675.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.